The typical Premium Bonds holder wins less than the prize fund rate suggests — the median year, modelled exactly, beside the advertised average.
How premium bonds is worked out
The prize fund rate is an average, and averages mislead here by design: rare large prizes pull the mean up, so the TYPICAL holder wins less — often nothing. On £1,000 of Bonds at an example 4% fund rate and 1-in-22,000 odds, the advertised average is £40 a year — while the median holder wins £0: the chance of winning nothing at all across the whole year is 58%. At the calculator's £5,000 default the gap stays wide — £200 advertised against a median floor of £75. The calculator models the median exactly (a Poisson count of wins, each valued at the minimum prize as a stated floor) and takes the rate and odds as your inputs, because NS&I varies both and publishes the current pair.
Why the mean and the median disagree so sharply
The prize fund pays out across values from the minimum up to the top prize, and the biggest prizes belong, in any given year, to almost nobody. The average spreads every prize across every holder; the median asks what the person in the middle actually receives. At a large holding the two are still far apart: £50,000 at the example inputs averages £2,000, while the median year's wins, counted at the minimum prize, floor at £675 — the gap between the two figures is everything paid above the minimum, in a split NS&I varies and this page deliberately does not estimate. At a small holding the average stops describing anyone: the median £1,000 holder's year is zero prizes.
What the calculator models, exactly
Each £1 Bond enters the monthly draw with the odds you supply, so a year's prize count follows a well-defined distribution, and the median of that count is computed exactly — no simulation, no hand-waving. Each median win is then valued at the £25 minimum prize. That makes the printed figure a floor on the median year, and it is stated as one — nothing more. How the prize money splits across values above the minimum is NS&I's to vary, and it does vary it, so a typical year's actual value sits at or above the floor by a margin this page deliberately does not estimate — exactly at it, when the median count is zero. Prizes are tax-free, which is the honest half of the pitch: for a saver whose interest has already outgrown their Personal Savings Allowance, a tax-free median compares against an ordinary account's after-tax interest, and gains relative value exactly there.
What this page will never do
It never asserts the prize fund rate or the odds. NS&I varies both — sometimes several times a year — and a page that printed them would be wrong within months while looking authoritative the whole time. Both are inputs, the current pair is on NS&I's Premium Bonds page, and the source below is that page. Whether Premium Bonds beat a savings account for you depends on your allowances, your tax rate and your appetite for a zero year: the savings interest tax calculator works the taxed side of that comparison.
What would change this figure
Change any figure above and the result moves with it. A payslip can differ from any calculator because payroll works pay period by pay period, so a tax-code change, a bonus, arrears or a refund can land in one month and not the next. See how each deduction is worked out.
Last updated 2026-08-28. Checked by Sean Elsmore. Rates last checked against GOV.UK on 2026-08-07. Estimates are for planning and should be checked against official records where the decision matters.